Magic State Factory Catalog

[\![72,\,5,\,3]\!]

One factory with n=72 inputs, k=5 outputs and distance d=3.

Inequivalent gates at [[72, 5, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CCZ}_{234}2.89312d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![71,\,5,\,3]\!] · [\![75,\,5,\,3]\!] · [\![68,\,5,\,3]\!] · [\![76,\,5,\,3]\!] · [\![67,\,5,\,3]\!] · [\![65,\,5,\,3]\!] · [\![79,\,5,\,3]\!] · [\![63,\,5,\,3]\!] · [\![83,\,5,\,3]\!] · [\![60,\,5,\,3]\!] · [\![84,\,5,\,3]\!] · [\![59,\,5,\,3]\!]